In testing a new drug, researchers found that 3% of all patients using it will have a mild side effect. A random sample of 8 patients using the drug is selected.(i) Find the probability that none will have this mild side effect.(ii) Find the probability that at least one will have this mild side effect.a) (i) 0.7837 (ii) 0.2163b) (i) 0.0300 (ii) 0.9700c) (i) 0.9700 (ii) 0.2163d) (i) 0.2163 (ii) 0.7837e) (i) 0.7837 (ii) 0.1085f) None of the above

The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 30 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is O. (Round to three decimal places as needed.) Is it unlikely for such a combined sample to test positive? A. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. B. It is unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is less than or equal to than 0.05. OC. It is unlikely for such a combined sample to test positive, because the probability that the combined sample…

Millo.09.

An experiment consists of rolling a weighted die. The probability of rolling each number is: Pr[1]=0.05Pr[1]=0.05, Pr[2]=0.25Pr[2]=0.25, Pr[3]=0.1Pr[3]=0.1, Pr[4]=0.15Pr[4]=0.15, Pr[5]=0.2Pr[5]=0.2, and Pr[6]=0.25Pr[6]=0.25. On the first roll, you record if the number is Small (1,2) or Large (3,4,5,6). If the first number is Small, then on the second roll you record if the number is a 1 or not. If the first number is Large, on the second roll you record whether the number is Small or not. So, some typical outcomes would be S1 (small number rolled, then 1) or LL (large number rolled, then another large number). Draw a tree diagram and use it to answer the following questions. (1) What is Pr[S1]? (2) What is Pr[LL]?  (3) What is Pr[(not1)onsecondroll|Sonfirstroll]? (4) What is Pr[S on second roll|L on first roll]?

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 16 cards in all. What is the probability of drawing at least 7 clubs? For the experiment above, let X denote the number of clubs that are drawn. For this random variable, find its expected value and standard deviation. E(X) = σ =

The probability of a randomly selected adult in one country being infected with a certain virus is 0.006. In tests for the​ virus, blood samples from 25 people are combined. What is the probability that the combined sample tests positive for the​ virus? Is it unlikely for such a combined sample to test​ positive? Note that the combined sample tests positive if at least one person has the virus. a. The probability that the combined sample will test positive is ​(Round to three decimal places as​ needed.)

A report to Health Canada indicated that an intensive education program was used in an attempt to lower the rate of lung cancer development among females. After running the program, a long-term follow-up study of 40a females was conducted, which revealed the current rate of lung cancer development is 7.a %. (a=1) Find the probability that 10 or less females have lung cancer development.

Suppose that a recent poll found that 50% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (e) below. Click here to view the table for the binomial probability distribution. Click here to view the table for the cumulative binomial probability distribution. (a) Find and interpret the probability that exactly 9 of those surveyed feel the state of morals is poor. The probability that exactly 9 of those surveyed feel the state of morals is poor is (Round to four decimal places as needed.) Interpret the results. Choose the correct answer below. In 100 trials of this experiment, we expect about to result in exactly 9 adults who feel the state of morals is poor. (b) Find and interpret the probability that no more than 4 of those surveyed feel the state of morals is…